Donald Trump could meet with Kim Jong-un if the US plans to end their "obsession" with the North Korean leader's nuclear weapons.
Mr Jong-Un said he has "fond memories" of the President's three previous meetings in a speech at the Supreme People's Assembly.
State news agency KCNA noted that the dictator was not interested in discussing denuclearisation, saying the North "will never give up" its weapons, which he said is essential for the safeguard of his nation.
The supreme leader said: "The world already knows well what the United States does after it forces a country to give up its nuclear arms and disarm.
"If the United States drops the absurd obsession with denuclearising us and accepts reality, and wants genuine peaceful coexistence, there is no reason for us not to sit down with the United States.
"I still personally hold fond memories of the current US president, Trump."
The demand for North Korea to relinquish its weapons has long been a contentious subject between North Korea and the West, with Pyongyang placed under a series of sanctions from the UN over its banned weapons programme.
Mr Jong-un said the sanctions would only help his regime in "growing stronger, building endurance and resistance that cannot be crushed by any pressure".
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Kim Jong Un met with Donald Trump in 2019 | GETTYSouth Korea's President Lee Jae Myung said it is thought that North Korea are producing 15 to 20 nuclear weapons each year.
He suggested "an interim emergency measure" that would support a deal for the North to freeze its nuclear production.
The South Korean President told the BBC: "So long as we do not give up on the long-term goal of denuclearisation, I believe there are clear benefits to having North Korea stop its nuclear and missile development.
"The question is whether we persist with fruitless attempts towards the ultimate goal [denuclearisation] or we set more realistic goals and achieve some of them."
Mr Trump said he wanted to meet the North Korean leader "this year" and spoke fondly of the time they spent together in 2019.
He became the first sitting US President to step foot in North Korea, saying he "felt safe" and has a "great relationship" with Mr Jong-un.
The US President continued: "I hope it stays that way. I think it will... I have a very good relationship, I understand him, I spent a lot of free time with him, talking about things that we probably aren't supposed to talk about, and, I get along with him really well."
Talks have frozen between Pyongyang and the West since February 2019 after the collapse of the Hanoi summit, despite the US President visiting the state late that year and multiple requests from the US and Seoul to restart negotiations.
Donald Trump said he 'gets along well' with Kim Jong-un
| GETTYMr Jong-un said he rejected the two nations' recent pushes for dialogue, as their primary intent to destroy his regime remained unchanged.
The South Korean leader said he hoped the North Korean dictator would agree to meet with the US President, noting their "degree of mutual trust".
He has previously praised the US President and suggested that relations between the two nations had deteriorated during Joe Biden's tenure in office.
Sitting with Mr Trump in the Oval Office, he said: "During the hiatus where you were out of office, North Korea developed further its nuclear and missile capabilities, and that led to a deterioration on the situation of the Korean peninsula."
Mr Trump responded: "And they wouldn't have done that, they would not have done that if I were President."